Question

please help me with this

Answer 1

Answer:

a) 10

b) 2.5

Step-by-step explanation:

2^n = 1024

2^n = 2^10

n = 10

4^(2n-3) = 16

4^(2n-3) = 4^2

2n-3 = 2

2n = 5

n = 2.5

Answer 2

Solution:-1:-

$\\ \sf\longmapsto 2^n=1024$

• Equal the bases

$\\ \sf\longmapsto 2^n=2^10$

$\\ \sf\longmapsto n=10$

Solution:-2:-

$\\ \sf\longmapsto 4^{2n-3}=16$

$\\ \sf\longmapsto 4^{2n-3}=4^2$

$\\ \sf\longmapsto 2n-3=2$

$\\ \sf\longmapsto 2n=2+3$

$\\ \sf\longmapsto 2n=5$

$\\ \sf\longmapsto n=\dfrac{5}{2}$

$\\ \sf\longmapsto n=2.5$